Question: A pentagonal number is defined as n (3 n 1) 2 for n = 1, 2, . . ., etc.. Therefore, the first few numbers

A pentagonal number is defined as n(3n1) 2 for n = 1, 2, . . ., etc.. Therefore, the first few numbers are 1, 5, 12, 22, . . . . Write a method with the following header that returns a pentagonal number:

public static int getPentagonalNumber(int n)

For example, getPentagonalNumber(1) returns 1 and getPentagonalNumber(2) returns 5. Write a test program that uses this method to display the first 100 pentagonal numbers with 10 numbers on each line. Numbers are separated by exactly one space.

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